The strongly implicit procedure is shown to be an easy-to-use stable, rapid and computationally efficient method of solving the coupled mass transport equations which describe complex electrode reactions involving diffusion, convection and homogeneous chemical steps. The method is illustrated with a diversity of problems pertaining to both microelectrodes and electrodes of conventional dimensions located in a rectangular channel through which electrolyte is pumped under laminar conditions. In all cases excellent agreement with experiment and/or existing analytical or numerical theory is noted.